MAIN COURSE: Example Task (MP2)

These three Japanese Temple Geometry problems lead to our next investigation

Hidetoshi and Rothman, 2008,Sacred Mathematics: Japanese Temple Geometry, pg 67	Given an equilateral triangle of side 1 unit, show that the diameters of the circles are approximately 0.26794 units.
Hidetoshi and Rothman, 2008,Sacred Mathematics: Japanese Temple Geometry, pg 67	Given a pentagon of side 1 unit, show that the circle diameters are approximately 0.50952 units.
Hidetoshi and Rothman, 2008,Sacred Mathematics: Japanese Temple Geometry, pg 94	A circle of radius r is inscribed in an isosceles triangle with sides a = 12 and b = 10. Find r.

How is the area of the inscribed circle related to the measure of the vertex angle?

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Here is a derivation of a formula that describes the relationship

entree problem.pdf

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3. Entree

MAIN COURSE: Example Task (MP2)